第6期 2017年6月
组合机床与自动化加工技术
Modular MachineTool &Automatic Manufacturing Technique
文章编号：10012265(2017)06003704
D0I:10. 13462/j. cenki. mmtamt. 2017. 06. 010
圆弧齿线圆柱齿轮动态接触性能分析
王
虹，侯力，赵斐，何林桐，张启帆，卿
馨
（四川大学制造科学与工程学院，成都610065）
No.6 Jun.2017
摘要：齿轮动态接触性能将直接影响传动平稳性和承载能力。为了研究圆弧齿轮嗜合过程中动态接触特性的时变规律，基于大刀盘铣削加工孤齿轮原理，借助MATLAB与UG建立精确的齿轮三维模型；借助ANSYS对弧齿轮副进行显式动力学分析，研究了点接触形式的圆弧齿轮的齿面接触应力分布情况；同时通过对齿轮副从静止到启动这一动态过程的模拟，探究了轮齿接触应力和啮合冲击的时变规律；最后，通过对不同齿宽系数的齿轮接触应力时变规律的研究，揭示了齿宽系数对圆弧齿轮的传动平稳性及承载能力的影响规律。实验结采表明，当齿宽系数在0.35~0.6范内变化时，齿宽系数越大，齿轮的啮合冲击越大，而接触应力越小，为圆弧齿轮的设计及工程应用提供了理论依据。
关键词：圆孤齿线圆柱齿轮：显式动力学：ANSYS；嗜合冲击
中图分类号：TH114;TG506
文献标识码：A
Dynamic Contact Analysis of Cylindrical Gear with Arcuate Tooth Trace WANG Hong,HOU Li,ZHAO Fei,HE Lin-tong,ZHANG Qi-fan,QING Xin
( School of Manufacturing Science and Engineering, Sichuan University, Chengdu 610065 , China)
Abstract : Gears' dynamic contact performance will affect transmission stability and bearing capacity direct-ly. In order to study the time-varying laws of the circular-arc-tooth-trace ( CATT) cylindrical gear's dynam ic contact characteristics in meshing process, based on the principle of huge-cutter milling CATT cylindrical gear, the precise 3-D models of CATT cylindrical gear have been established with the aid of MATLAB and UG. And then with the help of ANSYS, the explicit dynamic analysis of the CATT cylindrical gear pairs has been completed as well as the study of distribution of contact stress on the CATT cylindrical gear which contact at a point. Meanwhile, by simulating the process that the CATT cylindrical gears start to work, the time-varying laws of contact stress and meshing impact have been explored. Finally, through studying the time-varying law of contact stress on the gears with different width, the influence of the coefficient of face width on CATT cylindrical gear's transmission stability and bearing capacity has been revealed. And the re-sult shows that when the coefficient of face width is in the range of 0. 35 to 0. 6, the bigger the coefficien is, the lager the mesh impact is and the less the contract stress is. So the further design and industrial appli-cations of the CATT cylindrical gear can be accomplished based on the result
Key words: cylindrical gears with arcuate tooth trace; explicit dynamic; ANSYS; meshing impact
0引言
圆弧齿线圆柱齿轮（以下简称圆弧齿轮)是一种新型齿轮，其主要特征是：轮齿齿线在沿着齿轮某一母线展开的平面上是一段圆弧，啮合传动具有接触线长、无轴向分力、承载能力强等优点。鉴于这些优点，圆弧齿轮有着广阔应用前景。
自20世纪40年代日本长谷川吉三郎首次提出弧齿线圆柱齿轮并设计出其切齿机床以来[1-]不少学者
收稿日期：20160904;修回日期：20161010
对圆弧齿轮进行了深人研究。国外，Tseng等基于量法建立了弧齿圆柱齿轮的数字模型，并且分析其接触特征[3)；Wilcox等运用有限元法分析法进行齿轮应力分析和接触特性分析[4]；国内，狄玉涛在其硕士学位论文中研究了曲线齿轮啮合特性、啮合原理等相关性质[3]；侯力等提出了一种面向制造的圆弧齿轮，并对其建模过程、啮合特性等进行了研究和论证[6-]
但是关于圆弧齿轮的动态接触性能研究十分匮乏。虽然研究人员对圆弧齿轮啮合进行了动态仿
*基金项目：国家自然科学基金资助项目：新型强角线围柱者轮传动应用基确研究(51375320）
作者简介：王虹(1993一），女，重庆合川人，四川大学碳士研究生，研究方向为计算机辅助设计与制造，（E-mail)13541121179@163.com；侯力
(1956一），男，四川雅安人，图川大学教授，博士生导师，研究方向为机电一体化、机械传动，（Email)houlaoshishiyanshi@163.com
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